※ 引述《yuchungyi (yi)》之銘言：
: [領域] 電磁學 (題目相關領域)
: [來源] Griffiths (課本習題、考古題、參考書...)
: [題目] Two infinite parrallel plates separated by distance s are at
: potential 0 and V0.Use Poission's equation to find the potential
: V at x=5 in the region between the plates where the space charge
: density is p=p0(x/s).The distance x is measured from the plate
: at zero potential
: (Use V0=10 s=10 p0=8.841921*10^-12 4πεo=9*10^-9)
: [瓶頸] 我覺得x=5位置的V不就剛好在V=0和V=V0=10的中間 所以此位置的V就等於
: (0+10)/2=5 但感覺應該沒這麼簡單 請大家幫幫我謝謝
: (寫寫自己的想法，方便大家為你解答)
---------------x=s V=V0
ε
ρ=p0(x/s) x=5 V=?
---------------x=0 V=0
d^2
---V=-P0(x/εs)
dx^2
-p0x^3
V = -------- + c1x+c2
6εs
V(0)=0 ,C2=0
-p0s^2 p0s V0
V(s)=V0=-------- +c1s , c1=------ + ----
6ε 6ε s
-p05^3
V(5)=-------- + 5c1
6εs
這樣嗎,錯了我自D ?
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※ 編輯: iyenn 來自: 123.193.214.165 (11/09 23:13)